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Finding the Third Proportional to 344.13 and 526.44

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Solution

The third proportional to 344.13 and 526.44 is: 805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.13 : 526.44 = 526.44 : x
  2. Step 2: Convert to fraction form
    344.13/526.44 = 526.44/x
  3. Step 3: Cross multiply
    344.13x = 526.44 × 526.44
  4. Step 4: Simplify right side
    344.13x = 277,136.44
  5. Step 5: Solve for x
    x = 277,136.44/344.13
  6. Step 6: Final answer
    x = 805.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.